In the meantime, make the burger patties! Separate the meat mixture into 5 piles and then split each pile in half. Flatten out each half using your hands, and spoon a heaping teaspoon full of the cheese mixture onto one half. Top with the second half. Use your hands to reform a ball, sealing the edges and forming into a patty shape. Repeat for the remainder of the meat ending with 5 cheese filled and sealed patties.